Scattering Theory with Path Integrals

Abstract

Starting from well-known expressions for the $T$-matrix and its derivative in standard nonrelativistic potential scattering I rederive recent path-integral formulations due to Efimov and Barbashov et al. Some new relations follow immediately.

13 pages, no figures, Latex with amsmath, amssymb; v2: small changes in text, typos corrected, Eq. (4) enlarged, Ref. 4 properly classified; v3: silly error in Eq. (30) corrected

References in corpus (4)

• Path Integrals for Potential Scattering
• A New Path-Integral Representation of the $T$-Matrix in Potential Scattering
• Variational Approximations in a Path-Integral Description of Potential Scattering
• Exact Path-Integral Representations for the $T$-Matrix in Nonrelativistic Potential Scattering

Cited by in corpus (1)

• Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action